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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 861 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

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  1. 1.Divide ₹192 between Priya and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  2. 2.Divide ₹154 between Aarav and Aditya in the ratio 6 : 1. How much does Aditya get (in ₹)?
  3. 3.9 : 14 = 63 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  5. 5.Divide ₹410 between Tara and Meera in the ratio 1 : 9. How much does Tara get (in ₹)?
  6. 6.Divide ₹136 between Kabir and Farhan in the ratio 1 : 3. How much does Kabir get (in ₹)?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.12 : 4 = 60 : ?
  9. 9.8 : 12 = 40 : ?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.7 : 15 = 14 : ?
  12. 12.Divide ₹252 between Pooja and Farhan in the ratio 1 : 8. How much does Pooja get (in ₹)?
  13. 13.5 : 4 = 15 : ?
  14. 14.Divide ₹66 between Diya and Priya in the ratio 1 : 2. How much does Priya get (in ₹)?
  15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  16. 16.Divide ₹56 between Ishaan and Rohan in the ratio 3 : 5. How much does Ishaan get (in ₹)?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  20. 20.7 : 4 = 35 : ?
  21. 21.7 : 15 = 35 : ?
  22. 22.Divide ₹259 between Kavya and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  24. 24.Divide ₹210 between Ananya and Nisha in the ratio 1 : 6. How much does Ananya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  27. 27.Divide ₹165 between Dev and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  28. 28.Divide ₹418 between Saanvi and Rahul in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  29. 29.Divide ₹188 between Isha and Diya in the ratio 3 : 1. How much does Isha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  31. 31.Divide ₹65 between Zoya and Sneha in the ratio 6 : 7. How much does Zoya get (in ₹)?
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  34. 34.Divide ₹70 between Ishaan and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  36. 36.Divide ₹455 between Ishaan and Aarav in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  38. 38.8 : 2 = 40 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  40. 40.5 : 7 = 15 : ?

Answer key

  1. 84
  2. 22
  3. 98
  4. 18
  5. 41
  6. 34
  7. 80
  8. 20
  9. 60
  10. 128
  11. 30
  12. 28
  13. 12
  14. 44
  15. 54
  16. 21
  17. 175
  18. 6
  19. 56
  20. 20
  21. 75
  22. 185
  23. 18
  24. 30
  25. 30
  26. 40
  27. 120
  28. 304
  29. 141
  30. 3
  31. 30
  32. 16
  33. 6
  34. 49
  35. 10
  36. 140
  37. 24
  38. 10
  39. 48
  40. 21

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